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Finding the Fourth Proportional to 54,755.45, 82,142.04 and 21,457.46

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Solution

The fourth proportional to 54,755.45, 82,142.04 and 21,457.46 is: 32,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,755.45 : 82,142.04 = 21,457.46 : x
  2. Step 2: Convert to fraction form
    54,755.45/82,142.04 = 21,457.46/x
  3. Step 3: Cross multiply
    54,755.45x = 82,142.04 × 21,457.46
  4. Step 4: Simplify right side
    54,755.45x = 1,762,559,126.91
  5. Step 5: Solve for x
    x = 1,762,559,126.91/54,755.45
  6. Step 6: Final answer
    x = 32,189.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.